x^2−19x+c Find the value of c that makes the trinomial a perfect square.

Maximum area enclosed by Mona for the fencing is 640,000 square yards. And the dimensions( length and width ) of the rectangle to enclosed maximum area are 800 yard each.

As given in the question,

Perimeter of the rectangular area encloses for fencing = 3200 yards

Let 'x' and 'y' be the length and width of the rectangle.

2( x + y ) = 3200

⇒ x + y = 3200/2

⇒y = 1600 - x

Area of rectangular field 'A' = xy

⇒ A = x ( 1600 - x )

⇒ A = 1600x - x²

Differentiate both the side of the equation we get,

dA/dx = 1600 - 2x

For Maximum Area dA/dx = 0

1600 -2x =0

⇒ 2x = 1600

⇒ x= 800 yards

Now, y = 1600 - 800

          = 800 yards

Maximum area = (800) (800)

                        = 640,000 square yards

Therefore, the dimensions of the rectangular area are 800yards each and its maximum area is equal to 640,000 square yards.

Learn more about maximum area here

brainly.com/question/11906003

#SPJ4

The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.

This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.

Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.

To learn more about Excel, click here:

https://brainly.com/question/29784728

#SPJ11

The constant of proportionality for Tables 1,2,3,4,5 and 6 are 7, 3, 0.25, 14, 5/12 and 7/30 respectively

What is constant of proportionality?

The constant of proportionality is the constant value of the ratio between two proportional quantities.

In this case, the constant of proportionality (k) is the ratio of y and x

i.e. k = y/x

To complete the table:

Note:  k = y/x, y = kx and x = y/k

Table1:

x | 3  |  7   |  8  |  10 |

y | 21 | 49 | 56 | 70 |

constant of proportionality = 21/3 = 7

Table 2:

x |  4 | 24 | 15 |  3 |

y | 12 | 8  | 45 |  9 |

constant of proportionality = 24/8 = 3

Table 3:

x | 12 | 36 | 8 | 48 |

y |  3 |  9   | 2 | 12 |

constant of proportionality = 12/48 = 0.25

Table 4:

x |  7  |  11    | 5   | 2 |

y | 98 | 154 | 70 | 28 |

constant of proportionality = 70/5 = 14

Table 5:

x | 24 | 12 | 36 | 108 |

y | 10  | 5  | 15  | 45   |

constant of proportionality = 5/12

Table 6:

x | 60 |  1     | 0  | 30 |

y | 14  | 7/30 | 0  |  7  |

constant of proportionality = 7/30

Therefore, the corresponding values of the constant of proportionality for Tables 1, 2, 3, 4, 5 and 6 are 7, 3, 0.25, 14, 5/12 and 7/30

Learn more about constant of proportionality on:

brainly.com/question/1835116

#SPJ1

Answer:

196π (square metres)

Step-by-step explanation:

area of circle = π r²

= π (14)²

= 196π (square metres)

Regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

This problem can be modeled as a game of incomplete information. The Inspector and Owner are players in the game, and each has two possible strategies: either choose container B, or switch to container C. The payoffs for each player depend on the strategy they choose and which container contains the counterfeit goods.

To solve this game, we can use backward induction. We start by considering the final decision point: whether to switch to container C after seeing that container A does not contain the counterfeit goods. Let's consider the two cases:

If the counterfeit goods are in container B, then the Inspector knows that container C also does not have the counterfeit goods. In this case, the payoff for choosing container B is 100 (if they find the counterfeit goods) or -100 (if they do not).

If the counterfeit goods are in container C, then the Inspector knows that container B does not have the counterfeit goods. In this case, the payoff for switching to container C is 100 (if they find the counterfeit goods) or -100 (if they do not).

Since the Inspector does not know which container has the counterfeit goods, they should choose the strategy with the higher expected payoff. To calculate the expected payoffs, we need to consider the probability that the counterfeit goods are in each container. Since the owner chose one container at random, each container has a 1/3 chance of containing the counterfeit goods.

If the Inspector chooses container B, the expected payoff is:

Expected payoff (choose container B) = (1/3) * 100 + (2/3) * (-100) = -33.33

If the Inspector switches to container C, the expected payoff is:

Expected payoff (switch to container C) = (1/3) * 100 + (2/3) * (-100) = -33.33

Therefore, regardless of what the Inspector chooses, their expected payoff is the same (-33.33). This means that the Inspector does not have a better option than choosing container B, and switching to container C does not improve their chances of finding the counterfeit goods.

For the Owner, if the Inspector chooses container B, then the Owner's expected payoff is:

Expected payoff (Inspector chooses container B) = (1/3) * (-100) + (2/3) * 100 = 33.33

If the Inspector switches to container C, then the Owner's expected payoff is:

Expected payoff (Inspector switches to container C) = (1/3) * (-100) + (2/3) * 100 = 33.33

Therefore, regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

Learn more about payoff  here:

https://brainly.com/question/31773928

#SPJ11

Answer:

C -36

Step-by-step explanation:

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Read more about area here:https://brainly.com/question/27440983

#SPJ1

Answer:

-4x + 12

Step-by-step explanation:

2(x+6)-6x

2x + 12 - 6x

combine llike terms

2x - 6x = -4x

-4x + 12

Answer:

2(x+6)-6x=-4x+12

Step-by-step explanation:

So how I got that was I expanded 2(x+6): 2x+12 so I got 2x+12-6x

I simplified 2x+12-6x and I got -4x+12

Answer:

882

Step-by-step explanation:

840 : 100 x 105 = 882

Answer:

it is 6/5

Step-by-step explanation:

Answer: (4 , 2.5)

5 + 3 / 2 = 4

3 + 2 / 2 = 2.5

The minimum possible value of the European call option is approximately 2.8752.

Given the parameters S = 52 (current stock price), K = 50 (strike price), r = 24% (annual interest rate), and a time to maturity of 3 months, we can calculate the minimum call option value.

The Black-Scholes formula for European call option pricing is as follows:

C = S * N(d1) - K * e^(-r*T) * N(d2)

Where:

C = Call option price

S = Current stock price

N = Cumulative standard normal distribution function

d1 = (ln(S/K) + (r + σ^2/2) * T) / (σ * sqrt(T))

d2 = d1 - σ * sqrt(T)

K = Strike price

r = Annual interest rate

T = Time to maturity (in years)

e = Euler's number (approximately 2.71828)

σ = Implied volatility of the underlying asset

Using the provided values, we can calculate the minimum call option value as follows:

d1 = (ln(52/50) + (0.24 + 0^2/2) * (3/12)) / (0.24 * sqrt(3/12))

   = (ln(1.04) + 0.12 * 0.25) / (0.24 * 0.1443)

   = (0.0392 + 0.03) / 0.0346

   = 1.7507

d2 = 1.7507 - 0.24 * sqrt(3/12)

   = 1.7507 - 0.24 * 0.1443

   = 1.7507 - 0.0346

   = 1.7161

N(d1) = N(1.7507) ≈ 0.9599 (using standard normal distribution table)

N(d2) = N(1.7161) ≈ 0.9569 (using standard normal distribution table)

C = 52 * 0.9599 - 50 * e^(-0.24 * (3/12)) * 0.9569

 = 49.9152 - 50 * e^(-0.06) * 0.9569

 ≈ 49.9152 - 50 * 0.9408

 ≈ 49.9152 - 47.040

 ≈ 2.8752

Therefore, the minimum possible value of the European call option is approximately 2.8752.

To know more about the Black-Scholes formula, refer here:

https://brainly.com/question/32717699#

#SPJ11

the answer is d (the last one) 1/6.

i hope this helps.

Answer:

C

Step-by-step explanation:

Because their's 3 with 2 shaded in

Solve the system x+y=5 -2x+4y=8 then the value = (2,3) and x= 2 , y= 3 Given details in the question are  as follows :

x+y=5

-2x+4y=8

By substitution method :

x= 5-y..(1)

-2x=8-4y..(2)

-2(5-y) = 8 - 4y

-10 +2y = 8 -4y

-10-8 = -4y -2y

-18 = -6y

2 =y

now put the value of y in equation (1)

x+y=5

x+2=5

x=5-2

x=3

solve the system x+y=5 -2x+4y=8 then the value = (2,3) and x= 2 , y= 3.

Learn more about linear equations: brainly.com/question/24239864

#SPJ1

96 inch

V

=

64

c

u

b

i

c

i

n

c

h

e

s

Let us suppose

a

is the side length of the given cube:

a

3

=

64

c

u

b

i

c

i

n

c

h

e

s

a

=

(

64

)

1

3

a

=

4

i

n

c

h

e

s

Now the surface area of the cube:

S

=

6

a

2

=

6

(

4

)

2

=

6

(

16

)

=

96

i

n

c

h

2

Answer:

1

Step-by-step explanation:

Anything (besides 0) to the 0 power is 1.

Answer:

If your stock gains over 20% from the ideal buy point within 3 weeks of a proper breakout, hold it for at least 8 weeks.

Step-by-step explanation:

the money doesn't get redistributed to someone else.

If we take a simple random sample of size n=500 from a population of size 5,000,000, the variability of our estimate will be  (c) about the same as the variability for a sample  size n=500 from a population of size 50,000,000.

The variability of an estimate primarily depends on the sample size (n) rather than the population size. Since both scenarios have a sample size of 500, the variability will be approximately the same.

The correct answer is (d) slightly greater than the variability for a sample size n = 500 from a population of size 50,000,000. This is because the larger the population size, the smaller the sampling variability. In other words, if we take a sample of the same size from a larger population, there will be more variability due to the increased number of potential outcomes. However, the difference in variability between a population size of 5,000,000 and 50,000,000 is not significant enough to make a substantial impact on the estimate.

Learn more about sample size:

brainly.com/question/30100088

#SPJ11

Answer:

Is there an option of 45

Step-by-step explanation:

x-15=30

so +15

x=45

From the AAS property of congruency the side ab≅ac in the isosceles triangle.

Congruency generally shows the similarities between two triangles or any other shape for the similarity of the two shapes they should have any three properties same like their three sides, Three angles or one angle two sides and so on.

Now for an Isosceles triangle abc given in the figure

\(\angle bad=\angle cad\)

\(\angle abd=\angle acd\)

\(ad=ad\)   (common side)

So from the AAS property, the triangle \(\Delta bad=\Delta acd\) are congruence

The side ab will also be equal to the side ac.

So from the AAS property of congruency is the side ab≅ac in the isosceles triangle.

To know more about congruency follow

https://brainly.com/question/2102943

Answer:

The answer would be "A". Converse of the isosceles triangle theorem.

Step-by-step explanation:

You're Welcome :)

Answer:

Can you rephrase the question so I can get a better explanation of what you're trying to ax me

Answer: 10

Step-by-step explanation:

AB = 2EB

AB=CD

Due to that

Cd = 2EB therefore

CD = 10

The value of CD is 10.

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given:

EB= 5

As, OE is perpendicular to AB  

AB = 2EB

Also, AB=CD

so, CD= 2 EB

CD = 2*5

CD= 10

Learn more about perpendicular here:

https://brainly.com/question/18271653

#SPJ2

Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.

To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.

In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.

In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.

In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.

Learn more about topological spaces here:

https://brainly.com/question/32645200

#SPJ11

Answer: It will take 2.5 hours for her to walk 7.2 miles

Step-by-step explanation:

Divide the total mile by the number of miles per hour

7.2/2.88=2.5

since it takes an hour walk of 2.88 miles per hour, multiply 2.5 by 1

2.5*1=2.5

It will take 2.5 hours for her to walk 7.2 miles

Answer:

The car will travel approximately 13200  inches

Step-by-step explanation:

Notice that in one revolution, the car travels exactly the length of the tire's circumference, that is: \(2\,\pi\,R\)

Then, in 200 revolutions the car will travel 200 times that amount:

\(200\,(2\,\pi\,R)=400\ \pi\,R\)

So for the given dimension of the tire, and using the approximation \((\pi\approx22/7)\), this distance would be:

\(400\ \pi\,R=400\,\,\frac{22}{7} \,\,10.5\,\,in=13200\,\,in\)

Answer: A.) B.) D.)

Step-by-step explanation:

It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.

It is not surprising that the sample proportion is always included in the confidence interval, as the sample proportion is considered as the estimate of the confidence interval.

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

The point estimate is the sample proportion for a confidence interval of proportions, hence it is not surprising that the sample proportion is always included in the confidence interval for population proportions.

More can be learned about confidence intervals at https://brainly.com/question/15712887

#SPJ1